Gauth Algebra.
Solve any algebra problem instantly — linear equations, quadratics, systems, and polynomials. No signup. 100% Free.
Algebra Topics We Solve
From basic equations to advanced polynomial expressions — all with step-by-step solutions.
Linear Equations
One-variable equations, slope-intercept form, graphing lines.
e.g. 4x − 3 = 13
Quadratic Equations
Factoring, quadratic formula, completing the square, discriminant.
e.g. x² + 5x + 6 = 0
Systems of Equations
Substitution, elimination, and matrix methods for 2×2 and 3×3 systems.
e.g. 2x+y=7, x−y=1
Polynomial Factoring
GCF, difference of squares, trinomial factoring, grouping.
e.g. x² − 9
Inequalities
Linear and quadratic inequalities, compound inequalities, interval notation.
e.g. 2x − 1 > 5
Rational Expressions
Simplifying, multiplying, dividing, and adding rational expressions.
e.g. (x²−4)/(x−2)
Radicals & Exponents
Simplifying radicals, rational exponents, radical equations.
e.g. √(48) = 4√3
Functions & Graphs
Domain, range, function composition, inverse functions, transformations.
e.g. f(g(x))
How Gauth Algebra Solver Works
1. Enter Your Problem
Type any algebra problem in plain text or standard notation. Use the Quick Try examples if you are unsure of the format.
2. AI Selects Method
The Gauth AI identifies the problem type and selects the most appropriate solving method automatically — factoring, quadratic formula, elimination, and more.
3. Step-by-Step Solution
Get a complete solution with every step explained — including the rule applied at each stage, so you understand the method, not just the answer.
What Is Gauth Math Algebra Solver?
Gauth Math Algebra Solver is a free AI-powered tool that provides instant, step-by-step solutions to algebra problems at any level. Whether you are working through a simple one-variable equation or a complex system with three unknowns, Gauth Algebra breaks down every solution into clear, numbered steps that are easy to follow and understand.
The tool is built on the same AI engine that powers Gauth — formerly known as Gauthmath — which has helped over 2 million students worldwide. The algebra solver covers the full scope of topics found in middle school through early college curricula, including linear equations, quadratic equations, systems of equations, polynomial factoring, inequalities, rational expressions, and functions.
Unlike competing tools such as Mathway or Photomath, Gauth Algebra Solver requires no account, no subscription, and imposes no daily limits. Every user gets access to the full step-by-step solution immediately — for free.
Algebra Topics Covered in Detail
Linear Equations
Linear equations are the foundation of algebra, and they appear throughout middle and high school curricula. Gauth Algebra Solver handles one-variable equations like 4x − 3 = 13, two-variable equations in slope-intercept form, and word problems that require setting up and solving a linear equation from scratch. Each solution shows the isolation of the variable step by step, with a clear explanation of each operation applied.
Quadratic Equations
Quadratic equations of the form ax² + bx + c = 0 can be solved using several methods, and the right choice depends on the specific equation. Gauth Algebra Solver automatically selects the most efficient method — factoring when possible, the quadratic formula when necessary, and completing the square when instructed. The full discriminant analysis is shown, including whether roots are real or complex, rational or irrational.
Systems of Equations
Systems of two or three equations with multiple variables are solved using substitution, elimination, or matrix row reduction, depending on the structure of the system. Gauth shows every step of the elimination or substitution process, making it clear exactly how each variable is isolated. This is particularly useful for students in Algebra II and precalculus who need to understand the logical flow of the solution, not just the final answer.
Polynomial Factoring
Factoring is one of the most frequently tested algebra skills in standardized exams. Gauth Algebra Solver handles GCF factoring, difference of squares, sum and difference of cubes, trinomial factoring, and factoring by grouping. Each step in the factoring process is shown explicitly, making it easy to apply the same technique to similar problems independently.
Inequalities
Linear and quadratic inequalities require careful attention to sign changes when multiplying or dividing by negative numbers. Gauth Algebra Solver handles all standard inequality types, including compound inequalities and absolute value inequalities, and presents solutions in both inequality notation and interval notation.
How to Solve Algebra Problems with Gauth Math
Using Gauth Math Algebra Solver is straightforward. Enter your problem in the input box at the top of the page using plain text or standard mathematical notation. Here are some input format examples to get you started:
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3x + 7 = 22— linear equation -
x² - 5x + 6 = 0— quadratic equation -
2x + y = 10, x - y = 2— system of equations -
factor x² + 7x + 12— polynomial factoring
After clicking Solve Instantly, the AI processes your problem and redirects you to the full step-by-step solution page. There is no limit on how many problems you can solve, and no account is needed.
Why Use Gauth Math for Algebra?
There are many algebra tools available, but most place the most valuable feature — the step-by-step solution — behind a paywall. Mathway shows only the final answer for free and requires a subscription to see the steps. Photomath provides limited explanations in its free version and requires Photomath Plus for full access. Symbolab offers a freemium model that limits daily solutions.
Gauth Math Algebra Solver takes a different approach: the complete solution, including every step and every explanation, is available to every user at no cost. This makes it the most accessible option for students who need reliable algebra help without a financial barrier.
The solver is also optimized for mobile, which matters because most students use their phones when doing homework. The interface works seamlessly in any mobile browser on iOS or Android without requiring an app download.
Frequently Asked Questions
Everything you need to know about Gauth Math Algebra Solver.